# If a and b are independent events with p(a) = 0.38 and p(b) = 0.55, then p(a | b) =?

**Solution:**

It is given that a and b are independent events

P(A) = 0.38 and P(B) = 0.55

To find: the conditional probability P(A/B)

P(A | B) = P(A ∩ B) / P(B)

We know that by the rule of probability that P(A ∩ B) = P(A) × P(B)

Substituting the values

P(A | B) = [0.38 × 0.55]/ 0.55

So we get

P(A | B) = 0.38

Therefore, P(A | B) = 0.38

## If a and b are independent events with p(a) = 0.38 and p(b) = 0.55, then p(a | b) =?

**Summary:**

If a and b are independent events with p(a) = 0.38 and p(b) = 0.55, then p(a | b) = 0.38

Math worksheets and

visual curriculum

visual curriculum